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Finding the Fourth Proportional to 1,079.29, 1,615.75 and 832.34

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Solution

The fourth proportional to 1,079.29, 1,615.75 and 832.34 is: 1,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.29 : 1,615.75 = 832.34 : x
  2. Step 2: Convert to fraction form
    1,079.29/1,615.75 = 832.34/x
  3. Step 3: Cross multiply
    1,079.29x = 1,615.75 × 832.34
  4. Step 4: Simplify right side
    1,079.29x = 1,344,855.31
  5. Step 5: Solve for x
    x = 1,344,855.31/1,079.29
  6. Step 6: Final answer
    x = 1,246.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.